Deformation of the J-matrix method of scattering

TL;DR

This paper extends the nonrelativistic J-matrix scattering method by introducing a one-parameter linear deformation to incorporate complex physical effects such as singular ground state couplings.

Contribution

It presents a novel deformation of the J-matrix method to better model physical systems with nontrivial ground state interactions.

Findings

Enhanced the J-matrix method with a linear deformation parameter

Demonstrated the method's ability to handle singular ground state couplings

Provided a framework for more accurate scattering calculations

Abstract

We construct nonrelativistic J-matrix theory of scattering for a system whose reference Hamiltonian is enhanced by one-parameter linear deformation to account for nontrivial physical effects that could be modeled by a singular ground state coupling.